3y^{''}+5y^'-2y=0

Lösung

3 y^{^{''}} + 5 y^{^{'}} - 2 y = 0

y = c_{1} e^{\frac{t}{3}} + c_{2} e^{- 2 t}

Schritte zur Lösung

3 y^{''} (t) + 5 y^{'} (t) - 2 y = 0

Solve linear ODE:

y = c_{1} e^{\frac{t}{3}} + c_{2} e^{- 2 t}

y = c_{1} e^{\frac{t}{3}} + c_{2} e^{- 2 t}

x \to 1 lim (ln (9 x) + e^{x})

\int (3 x - 1)^{3} d x

\int \frac{4 x ^{2} - 8 x}{( x - 1 ) ^{2} ( x ^{2} + 1 )} d x

x \to 0 lim (\frac{csc ( 2 x )}{x})

\frac{\partial}{\partial x} ((\frac{x}{y}) e^{x y})